Trade-offs between precision and fluctuations in charging finite-dimensional quantum batteries

Abstract

Within quantum thermodynamics, many tasks are modelled by processes that require work sources represented by out-of-equilibrium quantum systems, often dubbed quantum batteries, in which work can be deposited or from which work can be extracted. Here we consider quantum batteries modelled as finite-dimensional quantum systems initially in thermal equilibrium that are charged via cyclic Hamiltonian processes. We present optimal or near-optimal protocols for $N$ identical two-level systems and individual $d$-level systems with equally spaced energy gaps in terms of the charging precision and work fluctuations during the charging process. We analyze the trade-off between these figures of merit as well as the performance of local and global operations.

18 pages, 7 figures; revised protocol for minimizing work fluctuations

References in corpus (10)

• Fluctuation theorems: Work is not an observable
• Dissipative charging of a quantum battery
• Quantum versus classical many-body batteries
• Stabilizing Open Quantum Batteries by Sequential Measurements
• Charging and energy fluctuations of a driven quantum battery
• Quantum advantage in charging cavity and spin batteries by repeated interactions
• Passivity and practical work extraction using Gaussian operations
• A composite parameterization of unitary groups, density matrices and subspaces
• Work fluctuations and entanglement in quantum batteries
• A quantum open system model of molecular battery charged by excitons

Cited by in corpus (7)

• Colloquium: Quantum Batteries
• Super-Optimal Charging of Quantum Batteries via Reservoir Engineering
• Multimode advantage in continuous variable quantum battery
• Universally-Charging Protocols for Quantum Batteries: A No-Go Theorem
• Magnetic Dipolar Quantum Battery with Spin-Orbit Coupling
• Charging a quantum spin network towards Heisenberg-limited precision
• Fundamental precision limits in finite-dimensional quantum thermal machines